What is Dipole: Definition and 852 Discussions

In electromagnetism, there are two kinds of dipoles:

An electric dipole deals with the separation of the positive and negative charges found in any electromagnetic system. A simple example of this system is a pair of electric charges of equal magnitude but opposite sign separated by some typically small distance. (A permanent electric dipole is called an electret.)
A magnetic dipole is the closed circulation of an electric current system. A simple example is a single loop of wire with constant current through it. A bar magnet is an example of a magnet with a permanent magnetic dipole moment.Dipoles, whether electric or magnetic, can be characterized by their dipole moment, a vector quantity. For the simple electric dipole, the electric dipole moment points from the negative charge towards the positive charge, and has a magnitude equal to the strength of each charge times the separation between the charges. (To be precise: for the definition of the dipole moment, one should always consider the "dipole limit", where, for example, the distance of the generating charges should converge to 0 while simultaneously, the charge strength should diverge to infinity in such a way that the product remains a positive constant.)
For the magnetic (dipole) current loop, the magnetic dipole moment points through the loop (according to the right hand grip rule), with a magnitude equal to the current in the loop times the area of the loop.
Similar to magnetic current loops, the electron particle and some other fundamental particles have magnetic dipole moments, as an electron generates a magnetic field identical to that generated by a very small current loop. However, an electron's magnetic dipole moment is not due to a current loop, but to an intrinsic property of the electron. The electron may also have an electric dipole moment though such has yet to be observed (see electron electric dipole moment).

A permanent magnet, such as a bar magnet, owes its magnetism to the intrinsic magnetic dipole moment of the electron. The two ends of a bar magnet are referred to as poles—not to be confused with monopoles, see Classification below)—and may be labeled "north" and "south". In terms of the Earth's magnetic field, they are respectively "north-seeking" and "south-seeking" poles: if the magnet were freely suspended in the Earth's magnetic field, the north-seeking pole would point towards the north and the south-seeking pole would point towards the south. The dipole moment of the bar magnet points from its magnetic south to its magnetic north pole. In a magnetic compass, the north pole of a bar magnet points north. However, that means that Earth's geomagnetic north pole is the south pole (south-seeking pole) of its dipole moment and vice versa.
The only known mechanisms for the creation of magnetic dipoles are by current loops or quantum-mechanical spin since the existence of magnetic monopoles has never been experimentally demonstrated.
The term comes from the Greek δίς (dis), "twice" and πόλος (polos), "axis".

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  1. K

    Electric potential at the center of a dipole

    Potential at the center of an electric dipole is zero. This doesn't make intuitive sense, how can work required to bring an arbitrary charge from infinity to the center of a dipole be zero? Imagine a charge at some distance on horizontal bisector of the dipole, it will deflect from the...
  2. M

    Derivative of Magnetic Field from a dipole

    I need to take the derivative of the magnetic field from a magnetic dipole with respect to r for a project I'm working on: B =[m[/0]/(4π) * (3rhat(μ dot rhat) - μ)/|r|^3 where rhat is the unit vector of the vector r (or r/|r|), |r| is the magnitude of the vector r, and μ is the magnetic...
  3. S

    Dipole moment of polarized sphere

    Homework Statement Consider a polarised sphere of radius R the polarization is given by P vector = (ar^2 + b) r hat = ( ar+ b/r) r vector Where a and b are constantHomework Equations Find the dipole moment of the sphere The Attempt at a Solution I knew that P (polarized)= delta p / delta...
  4. M

    Modelling a Low freq Dipole Using exact and approximate formulation

    Homework Statement consider s dipole with spacing of 2cm between the two sources. it is radiating a 100hz pure tone, and the magnitude of each source 'A' is given by 1n/M^2. calculate the pressure as a function of the angle between the reciever and the dipole for a reciever 10 m from the dipole...
  5. R

    Electric Field Direction At The Center Of a Dipole?

    Ok we know for a Dipole the direction of Electric Field for points on the the dipole axis is in the direction of Dipole Moment(from -ve to +ve charge) rite? Now we also know that fields emanate from +ve charge and extend towards -ve charge. So what will be the direction of Electric Field at the...
  6. AntSC

    Optics Problem - Maximum Dipole Emission

    I am stuck with considering a problem. I don't even really know where to start so any pointers would be a great help. I am considering a semi-analytic model for some data i have. The situation is looking at how light propogates from a point source in diamond to air. At the surface of the...
  7. V

    Electric dipole moment in gaseous species.

    Homework Statement Consider the following species in the gaseous state: NF_3, \ BeF_2, \ BCl_3, \ KrF_4 \ and \ SeO^{2-}_4 . Which of them have electric dipole moment? Homework Equations The Attempt at a Solution I tried google, but I can't figure out how to check that..
  8. B

    Radiation vector for a short dipole near a perfect magnetic conductor

    Hi there. If I wanted to calculate the radiation vector (in z > 0) produced by a short dipole with uniform current Io (+z direction) on a infinite perfect electric conductor (plane z=0), I'd have to apply the images method. So I'd have to calculate the radiation vector produced by two short...
  9. S

    Electric Dipole Field: Difference & Coordinates

    Greetings, I wonder with respect to what coordinates the formulas given for the electric dipole is valid. Also I want to comprehend the difference between pure and physical dipoles and why many books put the origin of the cartesian system they define on the middle point of the electric dipole...
  10. S

    QFT Question: What is meant by dipole form ?

    QFT Question: What is meant by "dipole form"? Hello physics people! Probably a very basic question, but here goes. I'm taking a course on QFT based on Ryder. I've heard my professor refer to propagators as having a "polar" or "dipole" form. Things like (k^2 - m^2 + ie)^(-1) For anyone who...
  11. J

    Dipole Radiation Homework: Amplitude & Direction at P2, Total Power

    Homework Statement Given a Electric dipole located at the origin of the coordinate system, which oscillates with a given frequency and amplitude, creating an electromagnetic wave. It is found that no power can be detected at point P1 = (3 y) m (i.e. the intensity of the wave at that point is...
  12. T

    Modeling Magnetic Dipole Interaction Between Permanent Magnets

    Two permanent magnets are on the table some distance apart and having some arbitrary orientation relative to each other. When we let go of them they will rotate and translate until they stick together. I am looking for suitable equations to model this interaction on a computer. Also, if anyone...
  13. R

    What is the torque on each dipole about its centre in a given electric field?

    Homework Statement Cosnider two dipoles, p1 oriented along z at the origin, and p2 oriented along x at a distance r in the x - y plane. Given that the torque on a dipole in a field E can be written N = p x E, find the torque on each dipole about its centre. Homework Equations N=pxE , E=...
  14. H

    Potential energy of a dipole point and point charge

    Homework Statement A point dipole p is at the origin of coordinates, while a point charge q is at position r. Calculate the potential energy U of this system in two ways (a) by treating the dipole as a source and q as a test charge in the dipole field (b) by treating the dipole as a...
  15. H

    Calculating Total Dipole Moment of Spherical Sheet

    Homework Statement A spherical sheet of radius a has surface-charge density which depends on the polar angle θ according to the formula σ(θ)=σ0+σ1cos(θ) Find the total dipole moment Homework Equations pz=∫(dQ)z z=rcosθ The Attempt at a Solution I calculated the 1st dipole...
  16. M

    Reason for dipole and quadrupole magnets in the Large Hadron Collider

    According to Wikipedia, the source of all knowledge, the LHC contains some 1,232 dipole magnets with an additional 392 quadrupole magnets. What is the difference in function between the two types of magnets? How might the effects of magnetic field gradients contribute to the differences...
  17. D

    Does the Electron's Magnetic Field Possess Higher-Order Poles?

    Is the magnetic field produced by a single electron an ideal dipole, or does it posses higher-order poles?
  18. P

    Dipole moment and net torque of an atom

    Homework Statement The HCl (hydrochloric acid) molecule has a dipole moment of about 3.4x10-30 C.m. The two atoms are separated by about 1.10-10 m. What is the net charge on each atom? What is maximal torque that this dipole will experience in a 5.104 N/C electric field? How much energy one...
  19. M

    What Determines the Direction of a Dipole Operator in Quantum Optics?

    Hi, In quantum optics, when we talk about atom field interaction with a classical field and quantized atom, we say that the Hamiltonian has an interaction part of the form \hat{d}.\vec{E} where d is the dipole operator. For a two level atom, the dipole operator has only off diagonal elements...
  20. 1

    Electric Potential due to a dipole

    Homework Statement NOTE: Coordinates are in centimeters. A dipole consists of two point charges: +q = 0.911 μC at (-2.53,0) and -q at (2.53,0). a) Calculate V, the potential created by the dipole at (31.9,82). Homework Equations V = k \frac{q}{r} \\ \\ r_{1} = \sqrt{(x-.0253)^2 +...
  21. N

    Magnetic dipole in magnetic field

    Hi The energy U of a magnetic dipole in an external magnetic field is given by U = -\mu \cdot B so the energy is zero when they are perpendicular and maximal when they are antiparallel. This makes very good sense intuitively. Quantum-mechanically we have that \mu = -m_Fg_F \mu_B...
  22. Roodles01

    Signal from dipole detcted at loop in free space

    Homework Statement A Hertzian dipole at origin generates a signal in empty space which is detected at a wire loop with position vector; r=(50m)ez Homework Equations Signal is detected by changing magnetic field; B(t)=B0 sin(2∏ft)ex Show it is consistent with the Maxwell's solution to a plane...
  23. Roodles01

    I have a hertzian dipole at the origin

    Homework Statement I have a hertzian dipole at the origin, generating a signal. Nearby in empty space there is a loop, at a position vector r=(50m)ezz which can detect this signal. Homework Equations I have the equation B(t) = B0 sin (2*pi*ft)ex which I understand is the signal emitted...
  24. N

    Different expressions for the dipole moment

    Hi In my book (Griffith's) there are two different expressions for the induced polarization, namely P = \frac{N}{\text{volume}}<d> where <d> is the average of the dipole operator and N the number of atoms. The other expression listed is P = \text{Re}[\varepsilon_0 \chi E] where E...
  25. C

    Impedance on thin wire dipole using method of moments

    Homework Statement Write code to calculate the input impedance on a thin wire antenna using the below form of Pocklington's integral equation. Use Method of moments. Use a pulse as the basis function, point matching and delta-gap generator as the 'source'. Assume the wire is broken up into 7...
  26. M

    What is the dipole moment of this surface charge distribution?

    In the below figure, I'm supposed to express the z-coordinate of the point P, z', by the angle \theta Does this work out as z' = R\cdot \cos \theta? If so, I can't see why... Please give me a hint on this.
  27. tomwilliam2

    Orientation of Hertzian dipole and Plane wave approximation - when is it valid?

    Homework Statement I have a long EM question in which there is a Hertzian dipole at a point (0,0,-100), (unknown orientation) and I am told the equation of the physical magnetic field detected 100m away at the origin of Cartesian coordinates. $$(B_0 \sin (2 \pi f t)\mathbf{e}_x$$, and $$B_0 =...
  28. A

    How does a dipole antenna work

    How does it interact with the magnetic and electric fields of the radio waves while receiving them?
  29. S

    Find units of transition dipole moment

    I have been trying to figure out which formula for the relationship between oscillator strength and transition dipole moment is correct. Wiki had the following formula: http://photonicswiki.org/index.php?title=Transition_Dipole_Moment f = 4.703 \times 10^{29} \bar{v} \mu^{2}_{ge}\,\...
  30. H

    Short dipole radiation resistance - do you have experimental results?

    I have seen two formulas for a short dipole radiation resistance - according to one it is about 200*(l^2/λ^2) Ω, according to the second about 800*(l^2/λ^2) Ω. Which of these is correct, if any? (Let us consider a resonant short dipole, connected to proper inductance). In particular, I would...
  31. parazit

    COMSOL Multiphysics : Bending -Dipole- Magnet Design

    Hi friends. I am so new with Comsol software to design something but I wonder, if it is possible to desing a bending magnet (dipole) and simulate the motions of electrons ? I really would like to do this. Please give me a hand,help me to handle and try to do one together. Best.
  32. C

    Which have unusually large dipole moments?

    There are three compounds: 1.) fulvene 2.) calicene 3.) I don't know the name of the third compound. It looks like calicene except that there is not a double bond inside of the three-membered ring. Anyways, it turns out that fulvene and calicene have unusually large dipole moments...
  33. D

    Dipole Moment, what is Q? and other questions

    Hello, I have some questions about Dipole Moment, taken from a General Chemistry textbook, in which they treat Dipole Moment as a scalar. Here is a worked example from this textbook: Homework Statement The dipole moment of HCl is 1.11 D, and the distance between atoms is 127 pm. What is...
  34. N

    Determining Dipole Rotation: Clockwise vs Counterclockwise

    This is not a homework question I encountered this while revisiting the Electric Dipoles . First of all if someone explains me why the dipole So in the image above which way should the dipole rotate ? Anti Clock Wise or Clock Wise . What My intuition says is the Energy of a dipole is U...
  35. A

    What is the total dipole moment

    Sometimes I am asked to compute the total dipole moment of a charge configuration. Normally you work with dipole moment per unit volume, so you can find the above by integrating over the entire volume, which is quite easy. I'm curius though, what is the physical interpretation of the total...
  36. A

    Radiation Resistance of an off-centre fed dipole

    Hi, I'm trying to find the input impedance of an OCF dipole and I need a sanity check by one of the more experienced guys here. Now, I have assumed that the voltage and current distribution along the line is always the same, no matter where you feed the antenna at [1]. The radiation resistance...
  37. Saitama

    What Is the Dipole Moment of This Charge Configuration?

    Homework Statement 4 charges are placed each at a distance 'a' from origin. The dipole moment of the configuration is: a)2qa\hat{j} b)3qa\hat{j} c)2qa[\hat{i}+\hat{j}] d)none Homework Equations The Attempt at a Solution How do i determine dipole moment here when there is...
  38. T

    Differences between population lifetime and dipole moment lifetime

    Reading a book about atomic transitions i really don't understand physically what the book means when it talks about differences between the population lifetime and the dipole lifetime that appear in the coerence part of the density matrix of a 2 or a 3 level system. I imagine that the...
  39. S

    The electric dipole approximation

    I am trying to understand the elctric dipole approximation when an atom interacts with an electromagnetic wave. I know that if the size of the atom is much much smaller than the wavelength of the radiation, then the dot product od the wavevector and the position vector becomes constant. I...
  40. T

    Understanding the Direction of Electric Dipole Moment Vector

    Hi friends as all know that the direction of electric dipole moment vector is from negative charge towards the positive charge. I am pretty confuse that this direction is allotted to the dipole moment vector with some reason or just by convention.
  41. Z

    Find the energy of an ideal dipole in an electric field

    Homework Statement Show that the energy of an ideal dipole in an electric field E is given by: U = -p \bullet E Homework Equations The energy required to bring to charges together, their electrostatic energy, is: W = ½ ƩqiV(ri) The Attempt at a Solution Well I want to know what the...
  42. Z

    Curl of the dipole moment vector - why is it not always zero

    I'm confused about what polarization of a dielectric does to its electrical properties. It is clear to me that polarization causes every little atom to get a tiny dipole moment. A measure of the polarization is therefore P = dipole moment per unit volume. However, what is really a dipole moment...
  43. H

    What Is the Dipole Moment of a Grounded Sphere in a Uniform Electric Field?

    Homework Statement The electric potential of a grounded conducting sphere of radius r in a uniform electric field E_{0}\hat{k}along the z direction is given by V(r,\theta )=-E_{0}r\cos \theta +\frac{E_{0}R^{3}\cos \theta }{r^{2}} where r is the distance from the centre of the sphere...
  44. I

    Electric Dipole Moment: Meaning & Significance

    What is the physical meaning of electri dipole moment? What does it tell us about the dipole? Please don't just throw away mathematical equation (p=qd r_hat); help me to get its physical sense!
  45. S

    Electric Dipole in a Magnetic Field: Conservation of energy

    Please help me with the attached question. I don't understand how you get from the first line to the second line in (2). (I'm not too familiar with working with cross products and vectors). Also, I don't know how you get (5) from (1) and (2). Any help would be much appreciated. Thanks! :)
  46. A

    Calculating Dipole Moment: 1.5uC at (0,3), (0,5)

    Homework Statement Determine the dipole moment for the following charge distributions: 1.5uC each at (0,3), (0,5), where the coordinates are in cm. Homework Equations p=qd The Attempt at a Solution Since the coordinates are (0,3) and (0,5) d is 2cm or 0.02m and q is 1.5uC or...
  47. A

    Dipole Antenna - Effective Area

    Homework Statement Determine the effective area (Aeff) for a short dipole with L = λ/60 and λ/2 dipole. If the wires used for dipoles has radii a = 1 cm compare Aeff with the physical area. G(short dipole) = 1.5 G(half wave dipole) = 1.64 Homework Equations Aeff = G* λ2/4*pi The...
  48. H

    Maxwell’s equations for oscillating electric dipole

    Homework Statement How do I show that our equations for the E- and B-fields for the oscillating electric dipole do NOT satisfy Maxwell’s equations? Homework Equations After approximations in retarded potentials, we have our E- and B-field as following: E =...
  49. H

    Maxwell’s equations for oscillating electric dipole

    How do I show that our equations for the E- and B-fields for the oscillating electric dipole do NOT satisfy Maxwell’s equations? After approximations in retarded potentials, we have our E- and B-field as following: E = -ω2μ_{0}p_{0}(4∏r)-1sin(θ)cos[ω(t-\frac{r}{c})]\hat{θ} (Griffiths...
  50. C

    Force on an iron ball due to a dipole magnet

    Homework Statement A soft iron ball is fixed a distance d above the pole of a rectangular dipole magnet which is permanently magnetized. What is the force the iron ball feels due to the magnetic field? The dimensions of the dipole magnet are a x a x b, where a < b Homework Equations...
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